On the approximation of transport phenomena:A dynamical systems approach

Transport phenomena are studied in a large variety of dynamical systems with applications ranging from the analysis of fluid flow in the ocean and the predator-prey interaction in jellyfish to the investigation of blood flow in the cardiovascular system. Our approach to analyze transport is based on...

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Bibliographic Details
Published in:GAMM-Mitteilungen
Main Authors: Dellnitz, Michael, Froyland, Gary, Horenkamp, Christian, Padberg, Kathrin
Format: Article in Journal/Newspaper
Language:English
Published: 2009
Subjects:
Almost-invariant sets
Coherent structures
Ocean dynamics
Three-body problem
Transfer operator
Transport rates
/dk/atira/pure/core/keywords/54907418X
Didactics of Mathematics
Southern Ocean
Online Access:http://fox.leuphana.de/portal/de/publications/on-the-approximation-of-transport-phenomena(9dfd1157-34b9-4fb7-9229-51092525f794).html
https://doi.org/10.1002/gamm.200910004
http://www.scopus.com/inward/record.url?scp=80052414863&partnerID=8YFLogxK
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Summary:Transport phenomena are studied in a large variety of dynamical systems with applications ranging from the analysis of fluid flow in the ocean and the predator-prey interaction in jellyfish to the investigation of blood flow in the cardiovascular system. Our approach to analyze transport is based on the methodology of so-called transfer operators associated with a dynamical system since this is particularly suitable. We describe the approach and illustrate it by two real world applications: the computation of transport for asteroids in the solar system and the approximation of macroscopic structures in the Southern Ocean.

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